Math word Problem?

Question

Recovering golf balls. Susan and Joan are diving for golf balls in a large water trap. Susan recovers a golf ball ever 0.016 hour while Joan recovers a ball every 0.025 hour. If both are working, then at what rate (in golf balls per hour) are they recovering golf balls?

Answer 1

Need to find number of golf balls recovered in 1 hour.
Restated, 1 hour divided by how many golf balls = 1 ball recovered 0.016 hour for Susan?
x being the number of golf balls recovered in 1 hour, solve for x:
1 hour divided by x = 0.016
x times 0.016 = 1
x = 1 divided by 0.016
x = 62.5 (I would imagine this is an average based on data collected over time since we can't recover half a golf ball)

For Joan:
1 hour divided by x = 0.025
x times 0.025 = 1
x = 1 divided by 0.025
x = 40

Susan's 62.5 plus Joan's 40 golf balls per hour = 102.5 per hour (average)

Answer 2

When Susan recovers golf balls, she recovers 62.5 balls per hour (1/0.016). When Joan recovers golf balls, she recovers 40 balls per hour (1/0.025). When both work together, they recover 102.5 balls per hour.

Answer 3

at the rate of .o16 of an hour , Susan is moving awfully fast cause an hour consists of 3600 seconds. divide that by .016 and she is collecting 225000 balls per hour. Joan , while not as fast is collecting 114,000. for a total of 369,000 balls altogether. the sped together is one ball every .0205 per hour and they are collecting 102.5 balls per second

Answer 4

You'll want to convert "hours per golfball" to "golfballs per hour".
Take the reciprocals:
One divided by 0.016 = 62.5 (golfballs/hr).
One divided by 0.025 = 40 (golfballs/hr).

Now just find the sum:
62.5 + 40 = 102.5 golfballs per hour.

Answer 5

Well, with the equation
balls/hr(rate) x #of hours=balls recovered,
or balls/hr(rate)=hours/balls recovered

Susan-->rate=1ball/.016hrs=62.5balls/hr
Joan-->rate=1ball/.025hrs=40 balls/hr

40+62.5=102.5balls/hr (both together)